4.905x^2-x-3=0

Solution for 4.905x^2-x-3=0 equation:

4.905x^2-x-3=0

We add all the numbers together, and all the variables

4.905x^2-1x-3=0

a = 4.905; b = -1; c = -3;
Δ = b2-4ac
Δ = -12-4·4.905·(-3)
Δ = 59.86
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{59.86}}{2*4.905}=\frac{1-\sqrt{59.86}}{9.81}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{59.86}}{2*4.905}=\frac{1+\sqrt{59.86}}{9.81}
$